Abstract
With a brief description of the origin, basic characteristics and major practical applications of Walsh functions, different forms of Walsh functions in one and two dimensions are systematically developed from the orthogonality considerations. Approximation of a continuous function over a given domain by a finite set of Walsh functions provides a piecewise constant approximation of the function. The latter has important consequences in tackling practical problems by way of opening up new techniques for analysis and synthesis. Highlights of these aspects are provided along with a brief description of Walsh Block functions and Hadamard matrices.
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References
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Hazra, L., Mukherjee, P. (2018). Walsh Functions. In: Self-similarity in Walsh Functions and in the Farfield Diffraction Patterns of Radial Walsh Filters. SpringerBriefs in Applied Sciences and Technology. Springer, Singapore. https://doi.org/10.1007/978-981-10-2809-0_1
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DOI: https://doi.org/10.1007/978-981-10-2809-0_1
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